103605047040 has 288 divisors, whose sum is σ = 361602372096. Its totient is φ = 25072353280.

The previous prime is 103605047017. The next prime is 103605047053. The reversal of 103605047040 is 40740506301.

It is a super-3 number, since 3×103605047040³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103605046989 and 103605047007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28594669 + ... + 28598291.

It is an arithmetic number, because the mean of its divisors is an integer number (1255563792).

Almost surely, 2^103605047040 is an apocalyptic number.

103605047040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103605047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180801186048).

103605047040 is an abundant number, since it is smaller than the sum of its proper divisors (257997325056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103605047040 is a wasteful number, since it uses less digits than its factorization.

103605047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 103605047040 in words is "one hundred three billion, six hundred five million, forty-seven thousand, forty".